Surens Cards

Question 1

What is the definition of the y-intercept?

Answer 1

The y-intercept is the point where a line or curve intersects the y-axis.

Question 2

True or False: The y-intercept can have a negative value.

Answer 2

True

Question 3

Fill in the blank: In the equation of a line in slope-intercept form, y = mx + b, the letter ‘b’ represents the __________.

Answer 3

y-intercept

Question 4

What is the y-intercept of the line represented by the equation 2x + 3y = 6?

Answer 4

2

Question 5

Multiple Choice: Which of the following represents the y-intercept of the function f(x) = 4x - 7?

Answer 5

f(0) = -7

Question 6

What is the definition of slope in mathematics?

Answer 6

The slope is the measure of the steepness or incline of a line, represented as the ratio of the vertical change to the horizontal change between two points on the line.

Question 7

True or False: A slope of 0 indicates a horizontal line.

Answer 7

True

Question 8

Fill in the blank: The formula to calculate the slope (m) between two points (x1, y1) and (x2, y2) is m = (____) / (____).

Answer 8

y2 - y1 / x2 - x1

Question 9

What does a positive slope indicate about the direction of a line?

Answer 9

A positive slope indicates that the line rises from left to right.

Question 10

Multiple Choice: Which of the following slopes represents a line that falls from left to right? A) 1 B) -2 C) 0

Answer 10

B) -2

Question 11

What does GCF stand for in the context of factoring?

Answer 11

Greatest Common Factor

Question 12

True or False: The GCF of 12 and 16 is 4.

Answer 12

True

Question 13

Fill in the blank: To factor out a GCF, you divide each term of the polynomial by the GCF and then ________ the result.

Answer 13

multiply by the GCF

Question 14

Which of the following is a step in factoring out the GCF: A) Identify the GCF, B) Add the coefficients, C) Find the roots?

Answer 14

A) Identify the GCF

Question 15

If the expression is 6x^2 + 9x, what is the GCF?

Answer 15

3x

Question 16

What is the vertex of a parabola?

Answer 16

The vertex of a parabola is the point where the curve changes direction, representing either the maximum or minimum point of the parabola.

Question 17

True or False: The vertex of a parabola can be found using the formula x = -b/(2a) for the standard form y = ax^2 + bx + c.

Answer 17

True

Question 18

Fill in the blank: The vertex form of a parabola is expressed as y = a(x - h)² + k, where (h, k) represents the ______.

Answer 18

vertex

Question 19

In the equation y = 2(x - 3)² + 4, what are the coordinates of the vertex?

Answer 19

(3, 4)

Question 20

What is the significance of the vertex in relation to the axis of symmetry of a parabola?

Answer 20

The vertex lies on the axis of symmetry, which divides the parabola into two mirror-image halves.

Question 21

What is the value of 2 raised to the power of -3?

Answer 21

1/8

Question 22

True or False: A negative exponent indicates the reciprocal of the base raised to the opposite exponent.

Answer 22

True

Question 23

Fill in the blank: The expression x^(-n) is equivalent to _____ .

Answer 23

1/(x^n)

Question 24

Which of the following is true about negative exponents? A) They can only be applied to integers B) They result in positive values C) They indicate division by the base raised to the positive exponent

Answer 24

C) They indicate division by the base raised to the positive exponent

Question 25

If a = 5, what is the value of a^(-2)?

Answer 25

1/25

Question 26

What is the value of any non-zero number raised to the power of zero?

Answer 26

1

Question 27

True or False: 0 raised to the power of 0 is defined as 0.

Answer 27

False

Question 28

Fill in the blank: For any non-zero number 'a', a^0 = ___.

Answer 28

1

Question 29

Which of the following is true? a) 5^0 = 0, b) 5^0 = 1, c) 5^0 = 5

Answer 29

b) 5^0 = 1

Question 30

Short Answer: What does the expression 0^n equal for any positive integer n?

Answer 30

0